# A rose by any other name

Calculus Level 4

The collection of polar graphs, $$r(t) = \cos(nt)$$, is a family of images of flowers (roses) of $$n$$ or $$2n$$ petals depending on $$n$$ being even or odd.

Out of the options given, which rose with that number of non-overlapping petals would have the greatest total area?

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